Most of this is known or known to be wrong, just old theories. I comment only a few points. A Venetian ship shall have brought playing cards to Europe (possibly a reference to Marco Polo). In Venice had been one of the first playing card fabrications (possibly indirectly suggested by the Venice document of 1441). The knight order of Calatrava shall have installed a prohibition of card playing in 1351 ... this is new to me, I even didn't know this order. The art of woodcut shall have been invented in Nuremberg between 1350 and 1369 ... I don't know, who had this theory before. I saw the same remark with the same strange years (1350/1369) in the writings of Schotel, who brought up the year 1362 in context of Jan van Blois. I assume, that Schotel took from the work of Cesare Cantu. The same info gives a dictionary article (Pierer 1845) ... https://books.google.de/books?id=OeFkAA ... 69&f=false

I don't suspect Breitkopf to have written this note with 1350 and 1369. The writer Thon is ...https://de.wikipedia.org/wiki/Christian ... tlieb_Thon
.. Christian Friedrich Gottlieb Thon, who had written a big group of technical books, which were evaluated as very good by specialists. An older book of him was from 1823 ..
"Neues geographisches Handelslexikon. Schmalkalden, 1823"
another "Vollständiges und ausführliches Waarenlexikon. 2 Bände. Weimar, 1832"
... one a dictionary about trade, and this was also topic to Hübsch, who mentioned early playing cards in Bohemia, the other another dictionary about the "Waaren" or Waren, which means the objects of trade.
Hübsch had the plan to write a dictionary about trade in the early 1440s himself, it's rather sure, that he knew this book and at least the name of the author.

Thon lived in Schwarza and in Erfurt, not very far from Bohemia and ...

The description doesn't address playing cards, but a lot of different papers. This was the first edition, the dictionary spoke of a book printed 1832 in Weimar (likely a second edition and possibly an expanded edition with something about playing cards). This latter added an "...und Karten" to the short "Der Fabrikant bunter Karten ..." in the title.

This note speaks of a second edition, of a "verbesserte Aufl", which means an improved and changed edition. This was 1832, as in the dictionary, but not in Weimar, but in Ilmenau. This contradiction seems not relevant, as the publisher Voigt produced in Ilmenau and in Weimar.

The Meyer dictionary of 1852 also transports the years 1350 and 1369 in its Spielkarten articlel. It uses the same 3 sources as the Pircher dictionary 1845, so Thon, Leischner and Breitkopf, but Thon and Leischner are added to the technical production, and the historical part at the end of the article is finished by pointing to Breitkopf. I searched in the work of Breitkopf, it has occasionally a 1350 and a 1369, but not together and it is not recognizable, that Breitkopf wrote 1350 and 1369.
The Meyer article is far longer than the Pierer article and written much more careful.

The book is about technological inventions, and the series has 12 volumes. It claims the year c. 1360 ["between 1350 and 1369" could have been an interpretation of "c. 1360"] for the printing technology of playing cards, but for more the article points to the article "Kartenspiel". I searched the volume, which contained the article Kartenspiel, which I found.

The cards are trivial, all sorts of possible objects, wagons, canons, troops ... if something is missing, one can produce cards with written names. The cards of the enemy have a red color. As it seems, the cards just serve the intention to imitate future battles in preparation discussions. And to explain the plans of war to the lower commanders.

As I understand it, the cards were practically used before 1559. The year 1559 had established peace between the long-time opponents France and Habsburg and perhaps one had decided to speak open about this "secret weapon".

In the French edition of Cesare Cantu's history I find, that the order of the knights of Calatrava prohibited cards in 1331. So: either 1331 or 1351 was that, what Cesare Cantu wrote in Italian language.